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Chapter 9 Math Notes Lesson 9.1 Numerator: part of a whole Denominator: total number of parts 3 5 Lesson 9.3 Equivalent Fractions To make equivalent fractions, multiply or divide the numerator and denominator by the same number. Lesson 9.4 Simplest Form 1. Find the GCF (Greatest Common Factor) between the numerator and denominator. 2. Divide the numerator and denominator by the GCF. **When a fraction is in simplest form, the numerator and denominator should not have any common factors. ***To find the GCF list the common factors of each number. Factors are numbers that multiply together to get a product. Lesson 9.8 Writing Fractions Mixed number – a number with a whole number and a fraction. Improper fraction – a number in which the numerator is greater than the denominator. For whole numbers: 1. Write a denominator that is the same as the whole number. 2. Multiply the whole number by the denominator to get the numerator. For mixed numbers: 1. Multiply the denominator by the whole number. 2. Add the numerator to the product from step 1 and put your answer as the new numerator. 3. Keep the same denominator. Lesson 9.9 Writing Mixed Numbers 1. Divide the numerator by the denominator. 2. The quotient becomes your whole number. Any reminder becomes the numerator and you keep the same denominator. Lesson 9.10 Comparing and Ordering Fractions 1. Find the LCM (least common multiple) of the denominators. 2. Write equivalent fractions using the LCM. 3. Compare the numerators and write the fractions in order. **If the fraction is a mixed number or whole number, don’t forget to compare the whole numbers! ***Always write your answer using the original fractions from the problem, not the equivalent fractions. Lesson 9.11 and 9.12 Changing Fractions to Decimals There are three ways to change a fraction to a decimal. 1. If the denominator is a tenth, hundredth, or thousandth, read the fraction and write the decimal using the correct place value. 2. If the fraction can be changed to an equivalent fraction with a denominator of a tenth, hundredth, or thousandth… Write an equivalent fraction. Read the fraction and write the correct decimal. 3. Divide the numerator by the denominator. Be sure to add a decimal and zeros when needed.